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| Title: | On some measures of noncompactness in the space of continuous functions | Authors: | Banaś, Józef Sadarangani, Kishin |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Measure of noncompactness Modulus of decrease Modulus of increase Monotone function |
Issue Date: | 2008 | Journal: | Nonlinear Analysis, Theory, Methods and Applications | Abstract: | We consider some quantities in the space of functions continuous on a bounded interval, which are related to monotonicity of functions. Based on those quantities we construct a few measures of noncompactness in the mentioned function space. Several properties of those measures are established; among others it is shown that they are regular or “partly” regular measures and equivalent to the Hausdorff measure of noncompactness. | URI: | http://hdl.handle.net/10553/46756 | ISSN: | 0362-546X | DOI: | 10.1016/j.na.2006.11.003 | Source: | Nonlinear Analysis, Theory, Methods and Applications [ISSN 0362-546X], v. 68 (2), p. 377-383 |
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